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Linear Algebra With Applications (classic Version)
- Let A=[aij]23 where aij=i+j, and let B=[bij]34 where bij=2ij. If AB=[cij]24, write a formula for cij in terms of i and j.arrow_forwardUse a system of linear equation to find the parabola y=ax2+bx+c that passes through the points (1,2), (0,1) and (2,6)arrow_forwardFor the vector v=(3,2), sketch a 4v, b 12v, and c 0v.arrow_forward
- Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find T(7,2).arrow_forwardUse a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)arrow_forwardSolve for X in the Equation, given A=-2-1103-4 and B=0320-4-1 a X=3A2B b 2X=2AB c 2X+3A=B d 2A+4B=-2Xarrow_forward
- Let i = (- 3, - 2, 3) and i = (1, - 6, - 7). Compute the following: ủ xi = i xü = u x u = – 4(u x v) i x (– 40) = (ũ + ở) x ở =arrow_forwardExpress w as a linear combination of u and v. 3 u= --[2] = V 4 6 W = - 6 6arrow_forwardLet u = (1, 2, 3), v = (4, 4, -2), and w = (6, -1, -2). Find z, where 2u + v - w + 3z = 0. z =arrow_forward
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